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111411240211134 = 2344917283192319
BaseRepresentation
bin11001010101001111110011…
…011001011001001010111110
3112121110210212212222110120000
4121111033303121121022332
5104100330204443224014
61032541341151135130
732316124251424503
oct3125176331311276
9477423785873500
10111411240211134
1132554272683476
12105b42b2b144a6
134a2205b7c8926
141d724932a94aa
15cd30de560509
hex6553f36592be

111411240211134 has 80 divisors (see below), whose sum is σ = 250187792532480. Its totient is φ = 37056163026960.

The previous prime is 111411240211057. The next prime is 111411240211147. The reversal of 111411240211134 is 431112042114111.

111411240211134 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 112 + 402 + 11 + 134 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 111411240211098 and 111411240211107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 579208227 + ... + 579400545.

It is an arithmetic number, because the mean of its divisors is an integer number (3127347406656).

Almost surely, 2111411240211134 is an apocalyptic number.

111411240211134 is an abundant number, since it is smaller than the sum of its proper divisors (138776552321346).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111411240211134 is a wasteful number, since it uses less digits than its factorization.

111411240211134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200107 (or 200098 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

Adding to 111411240211134 its reverse (431112042114111), we get a palindrome (542523282325245).

The spelling of 111411240211134 in words is "one hundred eleven trillion, four hundred eleven billion, two hundred forty million, two hundred eleven thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 491 982 1473 2946 4419 7283 8838 13257 14566 21849 26514 39771 43698 65547 79542 131094 192319 196641 384638 393282 576957 589923 1153914 1179846 1730871 3461742 3575953 5192613 7151906 10385226 10727859 15577839 21455718 31155678 32183577 64367154 94428629 96550731 188857258 193101462 283285887 289652193 566571774 579304386 849857661 1400659277 1699715322 2549572983 2801318554 4201977831 5099145966 7648718949 8403955662 12605933493 15297437898 25211866986 37817800479 75635600958 113453401437 226906802874 687723705007 1375447410014 2063171115021 4126342230042 6189513345063 12379026690126 18568540035189 37137080070378 55705620105567 111411240211134